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Rus_ich [418]
2 years ago
14

A computer repair technician charges $50 to make a house call plus $75 for each hour spent fixing a computer. This relationship

is represented by the equation y=75x+50. What does the graph of this equation represent? There may be more than one correct answer. A. The set of all ordered pairs (x,y) that are solutions to the equation B. The amount of time spent fixing a computer C. The cost of fixing a computer in x amount of time. D. The number of computers that the technician fixed
Mathematics
1 answer:
liraira [26]2 years ago
8 0
Answer:

<span>A. The set of all ordered pairs (x,y) that are solutions to the equation

</span><span>C. The cost of fixing a computer in x amount of time.</span><span>

</span>
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Answer:

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Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

Calculate and show the solution for the slope of 4x - 6y = 14

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

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4x - 6(0) = 14

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Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

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Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

m = (y2 - y1)/(x2 - x1)

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

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